Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
510 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 111 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14563488 | C2 | semidirect |
| 3. #14561459 | C2 | semidirect |
| 5. C19×#1745 | C2 | semidirect |
| 148. #1745 | D19 | semidirect |
| 233. C19 | #7628 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566099 | 2 |
| #14563488 | 2 |
| #14561459 | 2 |
| #14561455 | 2 |
| C19×#1745 | 2 |
| #7628 | 19 |